It is well known that in Spain and especially Italy, people in their twenties and even thirties stay with their parents until they find a job, and they often wait for the "perfect" job. This looks like an unemployment insurance with infinite duration with substantial moral hazard, which has lead to sky high youth unemployment rates in Europe.
Greg Kaplan is documenting that something similar is happening in the United States. Using the NSLY, he finds that many of those who do not attend college return home during unemployment spells, much like college students return home over the Summer. This analysis is very nicely done with an estimated structural model that features a repeated game between children and altruistic parents. In particular, this allows to understand why the savings rate of young people is so low. As they have the option of returning to their parents, they see no need to build up any precautionary savings. This means also that programs like unemployment insurance have little impact for them.